### On the Picard group of the A^1-stable homotopy category, by Po Hu

In the paper, we construct certain examples of smash-invertible
objects in the A^1-stable homotopy category over a field. These
examples are not generated by the simplicial and twisted circles,
and fit into an infinite family of conjectured examples, motivated
by an algebraic version of the Z/2-equivariant Hopf invariant one
problem, and certain spectra whose motivic homologies are the Rost
motives.

Po Hu <pohu@math.uchicago.edu>